Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(25,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.q (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 121.1 | ||
Character | \(\chi\) | \(=\) | 552.121 |
Dual form | 552.2.q.d.73.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{9}{11}\right)\) | \(1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.959493 | + | 0.281733i | 0.553964 | + | 0.162658i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.776140 | + | 0.498795i | −0.347100 | + | 0.223068i | −0.702561 | − | 0.711623i | \(-0.747960\pi\) |
0.355461 | + | 0.934691i | \(0.384324\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.172807 | − | 1.20190i | 0.0653148 | − | 0.454274i | −0.930751 | − | 0.365654i | \(-0.880845\pi\) |
0.996066 | − | 0.0886199i | \(-0.0282457\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.841254 | + | 0.540641i | 0.280418 | + | 0.180214i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.08362 | + | 2.37279i | 0.326723 | + | 0.715423i | 0.999706 | − | 0.0242343i | \(-0.00771479\pi\) |
−0.672984 | + | 0.739657i | \(0.734988\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.851334 | + | 5.92116i | 0.236118 | + | 1.64223i | 0.670791 | + | 0.741646i | \(0.265955\pi\) |
−0.434674 | + | 0.900588i | \(0.643136\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.885227 | + | 0.259926i | −0.228565 | + | 0.0671126i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 4.79395 | − | 5.53252i | 1.16270 | − | 1.34183i | 0.233461 | − | 0.972366i | \(-0.424995\pi\) |
0.929244 | − | 0.369467i | \(-0.120460\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.56144 | + | 4.11012i | 0.817051 | + | 0.942927i | 0.999186 | − | 0.0403469i | \(-0.0128463\pi\) |
−0.182135 | + | 0.983273i | \(0.558301\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.504420 | − | 1.10453i | 0.110074 | − | 0.241027i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.91294 | − | 4.39780i | 0.398876 | − | 0.917005i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.72348 | + | 3.77389i | −0.344696 | + | 0.754778i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.654861 | + | 0.755750i | 0.126028 | + | 0.145444i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.971937 | + | 1.12167i | −0.180484 | + | 0.208290i | −0.838781 | − | 0.544468i | \(-0.816732\pi\) |
0.658297 | + | 0.752758i | \(0.271277\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 7.26162 | − | 2.13220i | 1.30423 | − | 0.382955i | 0.445450 | − | 0.895307i | \(-0.353044\pi\) |
0.858776 | + | 0.512352i | \(0.171226\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.371231 | + | 2.58197i | 0.0646230 | + | 0.449463i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.465378 | + | 1.01903i | 0.0786632 | + | 0.172248i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6.92154 | − | 4.44820i | −1.13789 | − | 0.731280i | −0.170701 | − | 0.985323i | \(-0.554603\pi\) |
−0.967193 | + | 0.254043i | \(0.918239\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.851334 | + | 5.92116i | −0.136323 | + | 0.948144i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −7.88024 | + | 5.06433i | −1.23069 | + | 0.790915i | −0.983998 | − | 0.178180i | \(-0.942979\pi\) |
−0.246689 | + | 0.969095i | \(0.579343\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.55679 | + | 2.21887i | 1.15240 | + | 0.338375i | 0.801475 | − | 0.598029i | \(-0.204049\pi\) |
0.350925 | + | 0.936404i | \(0.385867\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.922599 | −0.137533 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −10.1065 | −1.47419 | −0.737094 | − | 0.675791i | \(-0.763802\pi\) | ||||
−0.737094 | + | 0.675791i | \(0.763802\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.30176 | + | 1.55674i | 0.757394 | + | 0.222391i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 6.15846 | − | 3.95780i | 0.862356 | − | 0.554203i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −0.545566 | + | 3.79450i | −0.0749393 | + | 0.521214i | 0.917428 | + | 0.397901i | \(0.130261\pi\) |
−0.992368 | + | 0.123313i | \(0.960648\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.02457 | − | 1.30111i | −0.272993 | − | 0.175442i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.25922 | + | 4.94701i | 0.299241 | + | 0.655247i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.81494 | − | 12.6232i | −0.236285 | − | 1.64340i | −0.670009 | − | 0.742353i | \(-0.733710\pi\) |
0.433724 | − | 0.901046i | \(-0.357199\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.38054 | + | 1.57987i | −0.688908 | + | 0.202282i | −0.607406 | − | 0.794392i | \(-0.707790\pi\) |
−0.0815018 | + | 0.996673i | \(0.525972\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.795169 | − | 0.917673i | 0.100182 | − | 0.115616i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −3.61420 | − | 4.17100i | −0.448286 | − | 0.517349i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.19459 | − | 9.18487i | 0.512451 | − | 1.12211i | −0.459769 | − | 0.888039i | \(-0.652068\pi\) |
0.972219 | − | 0.234072i | \(-0.0752051\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 3.07446 | − | 3.68072i | 0.370121 | − | 0.443107i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 2.76110 | − | 6.04596i | 0.327682 | − | 0.717524i | −0.672054 | − | 0.740502i | \(-0.734588\pi\) |
0.999736 | + | 0.0229787i | \(0.00731498\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.43786 | − | 7.42969i | −0.753495 | − | 0.869579i | 0.241408 | − | 0.970424i | \(-0.422391\pi\) |
−0.994902 | + | 0.100845i | \(0.967845\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −2.71689 | + | 3.13546i | −0.313720 | + | 0.362052i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 3.03910 | − | 0.892362i | 0.346338 | − | 0.101694i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.74805 | + | 12.1579i | 0.196671 | + | 1.36787i | 0.813860 | + | 0.581060i | \(0.197362\pi\) |
−0.617190 | + | 0.786814i | \(0.711729\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.415415 | + | 0.909632i | 0.0461572 | + | 0.101070i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 4.39148 | + | 2.82223i | 0.482027 | + | 0.309780i | 0.758992 | − | 0.651100i | \(-0.225692\pi\) |
−0.276965 | + | 0.960880i | \(0.589329\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.961187 | + | 6.68521i | −0.104255 | + | 0.725112i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −1.24858 | + | 0.802413i | −0.133862 | + | 0.0860277i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −3.57797 | − | 1.05059i | −0.379264 | − | 0.111362i | 0.0865433 | − | 0.996248i | \(-0.472418\pi\) |
−0.465807 | + | 0.884886i | \(0.654236\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 7.26374 | 0.761447 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 7.56818 | 0.784784 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −4.81428 | − | 1.41360i | −0.493935 | − | 0.145032i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −7.58479 | + | 4.87445i | −0.770118 | + | 0.494925i | −0.865741 | − | 0.500493i | \(-0.833152\pi\) |
0.0956225 | + | 0.995418i | \(0.469516\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −0.371231 | + | 2.58197i | −0.0373101 | + | 0.259497i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −10.7948 | − | 6.93742i | −1.07413 | − | 0.690299i | −0.120933 | − | 0.992661i | \(-0.538588\pi\) |
−0.953193 | + | 0.302362i | \(0.902225\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.70610 | − | 5.92552i | −0.266639 | − | 0.583859i | 0.728195 | − | 0.685370i | \(-0.240360\pi\) |
−0.994834 | + | 0.101511i | \(0.967632\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.159431 | + | 1.10887i | 0.0155589 | + | 0.108214i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 0.439592 | − | 0.129076i | 0.0424969 | − | 0.0124782i | −0.260415 | − | 0.965497i | \(-0.583859\pi\) |
0.302912 | + | 0.953019i | \(0.402041\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −6.01515 | + | 6.94185i | −0.576147 | + | 0.664909i | −0.966772 | − | 0.255641i | \(-0.917713\pi\) |
0.390625 | + | 0.920550i | \(0.372259\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −5.38796 | − | 6.21804i | −0.511403 | − | 0.590190i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 0.354339 | − | 0.775894i | 0.0333334 | − | 0.0729900i | −0.892233 | − | 0.451576i | \(-0.850862\pi\) |
0.925566 | + | 0.378586i | \(0.123589\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.708891 | + | 4.36747i | 0.0661044 | + | 0.407269i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −2.48503 | + | 5.44146i | −0.229741 | + | 0.503063i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −5.82109 | − | 6.71789i | −0.533618 | − | 0.615828i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.74756 | − | 3.17085i | 0.249778 | − | 0.288259i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −8.98782 | + | 2.63906i | −0.810405 | + | 0.237956i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −1.20123 | − | 8.35477i | −0.107442 | − | 0.747273i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −5.55691 | − | 12.1679i | −0.493096 | − | 1.07973i | −0.978652 | − | 0.205525i | \(-0.934110\pi\) |
0.485556 | − | 0.874206i | \(-0.338617\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 6.62556 | + | 4.25799i | 0.583348 | + | 0.374895i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 0.635443 | − | 4.41961i | 0.0555189 | − | 0.386143i | −0.943049 | − | 0.332653i | \(-0.892056\pi\) |
0.998568 | − | 0.0534901i | \(-0.0170346\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.55538 | − | 3.57023i | 0.481713 | − | 0.309578i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.885227 | − | 0.259926i | −0.0761882 | − | 0.0223709i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 19.5982 | 1.67439 | 0.837193 | − | 0.546907i | \(-0.184195\pi\) | ||||
0.837193 | + | 0.546907i | \(0.184195\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.590626 | 0.0500962 | 0.0250481 | − | 0.999686i | \(-0.492026\pi\) | ||||
0.0250481 | + | 0.999686i | \(0.492026\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −9.69713 | − | 2.84734i | −0.816646 | − | 0.239789i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −13.1271 | + | 8.43631i | −1.09775 | + | 0.705479i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.194873 | − | 1.35537i | 0.0161833 | − | 0.112558i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 4.64842 | + | 2.98736i | 0.383395 | + | 0.246393i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −7.36229 | − | 16.1212i | −0.603142 | − | 1.32070i | −0.927167 | − | 0.374648i | \(-0.877763\pi\) |
0.324025 | − | 0.946049i | \(-0.394964\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.06189 | − | 14.3408i | −0.167794 | − | 1.16703i | −0.883431 | − | 0.468562i | \(-0.844772\pi\) |
0.715637 | − | 0.698473i | \(-0.246137\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 7.02404 | − | 2.06244i | 0.567860 | − | 0.166739i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −4.57250 | + | 5.27694i | −0.367272 | + | 0.423854i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.237882 | − | 0.274530i | −0.0189850 | − | 0.0219099i | 0.746178 | − | 0.665747i | \(-0.231887\pi\) |
−0.765163 | + | 0.643837i | \(0.777341\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −1.59250 | + | 3.48709i | −0.126293 | + | 0.276544i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −4.95513 | − | 3.05913i | −0.390519 | − | 0.241093i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.77773 | + | 10.4618i | −0.374221 | + | 0.819429i | 0.625025 | + | 0.780604i | \(0.285089\pi\) |
−0.999246 | + | 0.0388246i | \(0.987639\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −1.57600 | − | 1.81880i | −0.122691 | − | 0.141593i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −3.08530 | + | 3.56063i | −0.238748 | + | 0.275530i | −0.862461 | − | 0.506124i | \(-0.831078\pi\) |
0.623713 | + | 0.781653i | \(0.285623\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −21.8619 | + | 6.41925i | −1.68169 | + | 0.493788i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.773975 | + | 5.38311i | 0.0591873 | + | 0.411657i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −3.22786 | − | 7.06803i | −0.245410 | − | 0.537372i | 0.746339 | − | 0.665565i | \(-0.231810\pi\) |
−0.991749 | + | 0.128193i | \(0.959082\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.23800 | + | 2.72360i | 0.320363 | + | 0.205885i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 1.81494 | − | 12.6232i | 0.136419 | − | 0.948816i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −12.4407 | + | 7.99518i | −0.929865 | + | 0.597588i | −0.915504 | − | 0.402309i | \(-0.868208\pi\) |
−0.0143609 | + | 0.999897i | \(0.504571\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 18.1390 | + | 5.32611i | 1.34826 | + | 0.395886i | 0.874611 | − | 0.484825i | \(-0.161117\pi\) |
0.473654 | + | 0.880711i | \(0.342935\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −5.60769 | −0.414533 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 7.59082 | 0.558088 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 18.3223 | + | 5.37992i | 1.33986 | + | 0.393419i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 1.02150 | − | 0.656476i | 0.0743030 | − | 0.0477516i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 0.0524728 | − | 0.364957i | 0.00379680 | − | 0.0264073i | −0.987835 | − | 0.155506i | \(-0.950299\pi\) |
0.991632 | + | 0.129099i | \(0.0412083\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −16.7208 | − | 10.7458i | −1.20359 | − | 0.773499i | −0.224014 | − | 0.974586i | \(-0.571916\pi\) |
−0.979573 | + | 0.201087i | \(0.935553\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −2.29269 | − | 5.02029i | −0.164183 | − | 0.359510i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −0.527469 | − | 3.66863i | −0.0375806 | − | 0.261379i | 0.962366 | − | 0.271758i | \(-0.0876052\pi\) |
−0.999946 | + | 0.0103794i | \(0.996696\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.97900 | + | 2.04922i | −0.494728 | + | 0.145265i | −0.519573 | − | 0.854426i | \(-0.673909\pi\) |
0.0248450 | + | 0.999691i | \(0.492091\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 6.61236 | − | 7.63107i | 0.466400 | − | 0.538254i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.18018 | + | 1.36200i | 0.0828324 | + | 0.0955937i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.59011 | − | 7.86125i | 0.250744 | − | 0.549053i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 3.98690 | − | 2.66545i | 0.277109 | − | 0.185262i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −5.89322 | + | 12.9043i | −0.407642 | + | 0.892612i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.678026 | − | 0.782483i | −0.0466772 | − | 0.0538684i | 0.731931 | − | 0.681379i | \(-0.238619\pi\) |
−0.778608 | + | 0.627511i | \(0.784074\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 4.35260 | − | 5.02317i | 0.298235 | − | 0.344182i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −6.97188 | + | 2.04713i | −0.475479 | + | 0.139613i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.30783 | − | 9.09618i | −0.0887815 | − | 0.617489i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −4.08390 | − | 8.94249i | −0.275964 | − | 0.604277i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 36.8402 | + | 23.6757i | 2.47814 | + | 1.59260i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0.0839960 | − | 0.584205i | 0.00562479 | − | 0.0391213i | −0.986816 | − | 0.161848i | \(-0.948255\pi\) |
0.992441 | + | 0.122726i | \(0.0391638\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −3.49020 | + | 2.24302i | −0.232680 | + | 0.149534i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 17.7311 | + | 5.20632i | 1.17685 | + | 0.345556i | 0.810960 | − | 0.585101i | \(-0.198945\pi\) |
0.365894 | + | 0.930657i | \(0.380763\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.328364 | 0.0216989 | 0.0108494 | − | 0.999941i | \(-0.496546\pi\) | ||||
0.0108494 | + | 0.999941i | \(0.496546\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 3.16741 | 0.208400 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 17.8023 | + | 5.22723i | 1.16627 | + | 0.342448i | 0.806866 | − | 0.590735i | \(-0.201162\pi\) |
0.359403 | + | 0.933182i | \(0.382980\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.84407 | − | 5.04108i | 0.511691 | − | 0.328844i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −1.74805 | + | 12.1579i | −0.113548 | + | 0.789743i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −4.08514 | − | 2.62536i | −0.264246 | − | 0.169820i | 0.401809 | − | 0.915724i | \(-0.368382\pi\) |
−0.666054 | + | 0.745903i | \(0.732018\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 11.1472 | + | 24.4089i | 0.718053 | + | 1.57232i | 0.816613 | + | 0.577186i | \(0.195849\pi\) |
−0.0985599 | + | 0.995131i | \(0.531424\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.142315 | + | 0.989821i | 0.00912950 | + | 0.0634971i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −4.89140 | + | 1.43624i | −0.312500 | + | 0.0917582i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −21.3047 | + | 24.5869i | −1.35559 | + | 1.56443i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 3.41848 | + | 3.94513i | 0.216637 | + | 0.250013i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −0.513571 | + | 1.12456i | −0.0324163 | + | 0.0709818i | −0.925148 | − | 0.379608i | \(-0.876059\pi\) |
0.892731 | + | 0.450590i | \(0.148786\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 12.5080 | − | 0.226526i | 0.786368 | − | 0.0142416i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −2.80569 | + | 6.14361i | −0.175699 | + | 0.384728i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −0.0850846 | − | 0.0981929i | −0.00530743 | − | 0.00612510i | 0.753090 | − | 0.657918i | \(-0.228563\pi\) |
−0.758397 | + | 0.651793i | \(0.774017\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −6.54237 | + | 7.55029i | −0.406523 | + | 0.469152i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.42407 | + | 0.418144i | −0.0881476 | + | 0.0258825i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 0.0268550 | + | 0.186781i | 0.00165595 | + | 0.0115174i | 0.990633 | − | 0.136554i | \(-0.0436026\pi\) |
−0.988977 | + | 0.148071i | \(0.952694\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.46924 | − | 3.21718i | −0.0902546 | − | 0.197630i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −3.13705 | − | 2.01606i | −0.191985 | − | 0.123381i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −3.05392 | + | 21.2405i | −0.186201 | + | 1.29506i | 0.655534 | + | 0.755165i | \(0.272443\pi\) |
−0.841735 | + | 0.539891i | \(0.818466\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.96855 | − | 1.90777i | 0.180327 | − | 0.115889i | −0.447363 | − | 0.894352i | \(-0.647637\pi\) |
0.627690 | + | 0.778463i | \(0.284001\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 6.96950 | + | 2.04643i | 0.421814 | + | 0.123856i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −10.8222 | −0.652606 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 18.6506 | 1.12061 | 0.560303 | − | 0.828288i | \(-0.310685\pi\) | ||||
0.560303 | + | 0.828288i | \(0.310685\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 7.26162 | + | 2.13220i | 0.434742 | + | 0.127652i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 22.8746 | − | 14.7006i | 1.36458 | − | 0.876964i | 0.366022 | − | 0.930606i | \(-0.380719\pi\) |
0.998560 | + | 0.0536420i | \(0.0170830\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.528675 | − | 3.67701i | 0.0314264 | − | 0.218576i | −0.968056 | − | 0.250733i | \(-0.919329\pi\) |
0.999483 | + | 0.0321569i | \(0.0102376\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −4.22101 | − | 2.71268i | −0.250031 | − | 0.160685i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 4.72504 | + | 10.3464i | 0.278910 | + | 0.610728i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.20741 | − | 36.2183i | −0.306318 | − | 2.13049i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −8.65084 | + | 2.54012i | −0.507121 | + | 0.148904i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 11.0833 | − | 12.7908i | 0.647494 | − | 0.747248i | −0.333187 | − | 0.942861i | \(-0.608124\pi\) |
0.980681 | + | 0.195613i | \(0.0626696\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 7.70502 | + | 8.89207i | 0.448604 | + | 0.517716i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −1.08362 | + | 2.37279i | −0.0628778 | + | 0.137683i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 27.6686 | + | 7.58283i | 1.60012 | + | 0.438526i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.97272 | − | 8.69904i | 0.228984 | − | 0.501404i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −8.40307 | − | 9.69766i | −0.482744 | − | 0.557116i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 3.38802 | − | 3.90998i | 0.193998 | − | 0.223885i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 27.5809 | − | 8.09848i | 1.57412 | − | 0.462204i | 0.625925 | − | 0.779883i | \(-0.284721\pi\) |
0.948198 | + | 0.317679i | \(0.102903\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −0.927067 | − | 6.44789i | −0.0527390 | − | 0.366808i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 10.7308 | + | 23.4972i | 0.608488 | + | 1.33240i | 0.923603 | + | 0.383350i | \(0.125230\pi\) |
−0.315115 | + | 0.949053i | \(0.602043\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 9.80550 | + | 6.30161i | 0.554240 | + | 0.356188i | 0.787585 | − | 0.616206i | \(-0.211331\pi\) |
−0.233346 | + | 0.972394i | \(0.574967\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.159431 | + | 1.10887i | −0.00898293 | + | 0.0624777i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −13.0585 | + | 8.39220i | −0.733440 | + | 0.471353i | −0.853288 | − | 0.521439i | \(-0.825395\pi\) |
0.119849 | + | 0.992792i | \(0.461759\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3.71471 | − | 1.09074i | −0.207984 | − | 0.0610695i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.458150 | 0.0255714 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 39.8127 | 2.21524 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −23.8131 | − | 6.99215i | −1.32091 | − | 0.387855i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −7.72724 | + | 4.96599i | −0.427317 | + | 0.274620i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −1.74647 | + | 12.1470i | −0.0962862 | + | 0.669685i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −26.4789 | − | 17.0169i | −1.45541 | − | 0.935335i | −0.998960 | − | 0.0455860i | \(-0.985484\pi\) |
−0.456450 | − | 0.889749i | \(-0.650879\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −3.41789 | − | 7.48413i | −0.187299 | − | 0.410128i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 1.32578 | + | 9.22098i | 0.0724349 | + | 0.503796i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −18.1231 | + | 5.32144i | −0.987231 | + | 0.289877i | −0.735206 | − | 0.677844i | \(-0.762915\pi\) |
−0.252025 | + | 0.967721i | \(0.581096\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.558581 | − | 0.644636i | 0.0303379 | − | 0.0350118i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 12.9281 | + | 14.9198i | 0.700095 | + | 0.807953i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 6.31816 | − | 13.8348i | 0.341148 | − | 0.747011i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.550283 | + | 4.39028i | −0.0296263 | + | 0.236365i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −8.48901 | + | 18.5883i | −0.455714 | + | 0.997874i | 0.532730 | + | 0.846285i | \(0.321166\pi\) |
−0.988444 | + | 0.151589i | \(0.951561\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 21.6680 | + | 25.0062i | 1.15986 | + | 1.33855i | 0.930967 | + | 0.365102i | \(0.118966\pi\) |
0.228896 | + | 0.973451i | \(0.426489\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −3.91741 | + | 4.52093i | −0.209096 | + | 0.241309i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −4.81493 | + | 1.41379i | −0.256273 | + | 0.0752485i | −0.407345 | − | 0.913274i | \(-0.633545\pi\) |
0.151073 | + | 0.988523i | \(0.451727\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.872695 | + | 6.06973i | 0.0463179 | + | 0.322148i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −3.69264 | − | 8.08576i | −0.195435 | − | 0.427944i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −25.5448 | − | 16.4167i | −1.34820 | − | 0.866438i | −0.350662 | − | 0.936502i | \(-0.614043\pi\) |
−0.997543 | + | 0.0700638i | \(0.977680\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1.50526 | + | 10.4693i | −0.0792241 | + | 0.551016i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 3.52960 | − | 2.26833i | 0.185256 | − | 0.119057i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 8.70257 | + | 2.55530i | 0.455513 | + | 0.133751i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 9.52268 | 0.497080 | 0.248540 | − | 0.968622i | \(-0.420049\pi\) | ||||
0.248540 | + | 0.968622i | \(0.420049\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −9.36726 | −0.487640 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 4.46632 | + | 1.31143i | 0.231880 | + | 0.0680860i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 4.07637 | − | 2.61972i | 0.211067 | − | 0.135644i | −0.430837 | − | 0.902430i | \(-0.641781\pi\) |
0.641903 | + | 0.766786i | \(0.278145\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 1.20123 | − | 8.35477i | 0.0620315 | − | 0.431438i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −7.46906 | − | 4.80007i | −0.384676 | − | 0.247216i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −11.9353 | − | 26.1348i | −0.613077 | − | 1.34245i | −0.920449 | − | 0.390863i | \(-0.872177\pi\) |
0.307372 | − | 0.951590i | \(-0.400551\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −1.90371 | − | 13.2406i | −0.0975302 | − | 0.678337i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −23.4241 | + | 6.87794i | −1.19692 | + | 0.351446i | −0.818673 | − | 0.574260i | \(-0.805290\pi\) |
−0.378243 | + | 0.925706i | \(0.623472\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.91366 | + | 2.20849i | −0.0975294 | + | 0.112555i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 5.15756 | + | 5.95214i | 0.262174 | + | 0.302564i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 0.102888 | − | 0.225294i | 0.00521664 | − | 0.0114229i | −0.907006 | − | 0.421118i | \(-0.861638\pi\) |
0.912222 | + | 0.409695i | \(0.134365\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −15.1604 | − | 31.6662i | −0.766693 | − | 1.60143i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 1.85485 | − | 4.06155i | 0.0935648 | − | 0.204878i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −7.42104 | − | 8.56434i | −0.373393 | − | 0.430919i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.55739 | − | 2.95139i | 0.128352 | − | 0.148126i | −0.687936 | − | 0.725772i | \(-0.741483\pi\) |
0.816288 | + | 0.577646i | \(0.196028\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 6.33620 | − | 1.86048i | 0.317207 | − | 0.0931403i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −0.491431 | − | 3.41798i | −0.0245409 | − | 0.170686i | 0.973865 | − | 0.227128i | \(-0.0729335\pi\) |
−0.998406 | + | 0.0564420i | \(0.982024\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 18.8072 | + | 41.1820i | 0.936852 | + | 2.05142i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −0.776140 | − | 0.498795i | −0.0385667 | − | 0.0247853i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 3.05435 | − | 21.2435i | 0.151399 | − | 1.05300i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −18.6949 | + | 12.0145i | −0.924403 | + | 0.594078i | −0.913932 | − | 0.405867i | \(-0.866969\pi\) |
−0.0104711 | + | 0.999945i | \(0.503333\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 18.8043 | + | 5.52145i | 0.927549 | + | 0.272353i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −15.4854 | −0.761986 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.81611 | −0.236414 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0.566701 | + | 0.166398i | 0.0277515 | + | 0.00814857i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −1.04864 | + | 0.673918i | −0.0512292 | + | 0.0329230i | −0.566005 | − | 0.824402i | \(-0.691512\pi\) |
0.514776 | + | 0.857325i | \(0.327875\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −3.44772 | + | 23.9794i | −0.168031 | + | 1.16868i | 0.714915 | + | 0.699211i | \(0.246465\pi\) |
−0.882947 | + | 0.469473i | \(0.844444\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −8.50214 | − | 5.46400i | −0.413388 | − | 0.265669i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 12.6168 | + | 27.6270i | 0.612007 | + | 1.34011i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.969047 | + | 6.73987i | 0.0468954 | + | 0.326165i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −14.9722 | + | 4.39623i | −0.722864 | + | 0.212252i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 17.8204 | − | 20.5658i | 0.858378 | − | 0.990622i | −0.141621 | − | 0.989921i | \(-0.545232\pi\) |
1.00000 | 0.000700669i | \(-0.000223030\pi\) | ||||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −23.8363 | − | 27.5086i | −1.14550 | − | 1.32198i | −0.939153 | − | 0.343500i | \(-0.888387\pi\) |
−0.206349 | − | 0.978479i | \(-0.566158\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.568832 | − | 1.24557i | 0.0272734 | − | 0.0597205i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 24.8883 | − | 7.80009i | 1.19057 | − | 0.373129i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −2.41170 | + | 5.28088i | −0.115104 | + | 0.252043i | −0.958412 | − | 0.285388i | \(-0.907878\pi\) |
0.843308 | + | 0.537430i | \(0.180605\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 3.61849 | + | 4.17596i | 0.172309 | + | 0.198855i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −14.3787 | + | 16.5939i | −0.683153 | + | 0.788401i | −0.986374 | − | 0.164519i | \(-0.947393\pi\) |
0.303220 | + | 0.952920i | \(0.401938\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 3.30103 | − | 0.969270i | 0.156484 | − | 0.0459478i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −2.52221 | − | 17.5423i | −0.119296 | − | 0.829724i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 0.558752 | + | 1.22350i | 0.0263691 | + | 0.0577403i | 0.922358 | − | 0.386336i | \(-0.126259\pi\) |
−0.895989 | + | 0.444076i | \(0.853532\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −20.5557 | − | 13.2104i | −0.967932 | − | 0.622052i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 2.06189 | − | 14.3408i | 0.0968761 | − | 0.673788i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −5.63767 | + | 3.62311i | −0.264298 | + | 0.169854i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −15.4742 | − | 4.54364i | −0.723854 | − | 0.212543i | −0.101006 | − | 0.994886i | \(-0.532206\pi\) |
−0.622848 | + | 0.782343i | \(0.714024\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 7.32057 | 0.341695 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −22.4689 | −1.04648 | −0.523240 | − | 0.852185i | \(-0.675277\pi\) | ||||
−0.523240 | + | 0.852185i | \(0.675277\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 24.4326 | + | 7.17405i | 1.13548 | + | 0.333406i | 0.794859 | − | 0.606795i | \(-0.207545\pi\) |
0.340620 | + | 0.940201i | \(0.389363\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −5.87397 | + | 3.77497i | −0.272399 | + | 0.175060i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 1.78966 | − | 12.4474i | 0.0828155 | − | 0.575995i | −0.905590 | − | 0.424155i | \(-0.860571\pi\) |
0.988405 | − | 0.151840i | \(-0.0485198\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −10.3144 | − | 6.62867i | −0.476275 | − | 0.306084i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −0.150902 | − | 0.330429i | −0.00695319 | − | 0.0152254i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 2.92374 | + | 20.3351i | 0.134434 | + | 0.935008i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −21.6492 | + | 6.35678i | −0.993334 | + | 0.291669i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.51042 | + | 2.89718i | −0.114944 | + | 0.132653i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 16.8571 | + | 19.4541i | 0.770221 | + | 0.888883i | 0.996363 | − | 0.0852117i | \(-0.0271567\pi\) |
−0.226142 | + | 0.974094i | \(0.572611\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 20.4460 | − | 44.7704i | 0.932256 | − | 2.04136i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −3.89256 | − | 4.33123i | −0.177118 | − | 0.197078i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 3.45550 | − | 7.56650i | 0.156906 | − | 0.343577i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −11.9101 | − | 13.7450i | −0.539697 | − | 0.622844i | 0.418754 | − | 0.908100i | \(-0.362467\pi\) |
−0.958451 | + | 0.285256i | \(0.907921\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −7.53162 | + | 8.69195i | −0.340592 | + | 0.393064i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −6.90525 | + | 2.02757i | −0.311630 | + | 0.0915027i | −0.433808 | − | 0.901005i | \(-0.642830\pi\) |
0.122178 | + | 0.992508i | \(0.461012\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.54627 | + | 10.7545i | 0.0696403 | + | 0.484359i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −0.999744 | − | 2.18913i | −0.0449351 | − | 0.0983942i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −6.78948 | − | 4.36334i | −0.304550 | − | 0.195722i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.61778 | − | 11.2519i | 0.0724217 | − | 0.503704i | −0.921034 | − | 0.389483i | \(-0.872654\pi\) |
0.993455 | − | 0.114221i | \(-0.0364372\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −3.96347 | + | 2.54717i | −0.177075 | + | 0.113799i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 38.2992 | + | 11.2456i | 1.70767 | + | 0.501419i | 0.982360 | − | 0.186999i | \(-0.0598761\pi\) |
0.725315 | + | 0.688417i | \(0.241694\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 11.8386 | 0.526813 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −22.7849 | −1.01191 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −13.9259 | − | 4.08902i | −0.617255 | − | 0.181243i | −0.0418674 | − | 0.999123i | \(-0.513331\pi\) |
−0.575388 | + | 0.817881i | \(0.695149\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −10.0422 | + | 6.45374i | −0.444242 | + | 0.285497i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −0.773975 | + | 5.38311i | −0.0341718 | + | 0.237670i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 5.05593 | + | 3.24925i | 0.222791 | + | 0.143179i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −10.9516 | − | 23.9806i | −0.481651 | − | 1.05467i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −1.10582 | − | 7.69112i | −0.0485399 | − | 0.337603i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −22.7207 | + | 6.67139i | −0.995411 | + | 0.292279i | −0.738571 | − | 0.674175i | \(-0.764499\pi\) |
−0.256839 | + | 0.966454i | \(0.582681\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 16.0912 | − | 18.5703i | 0.703620 | − | 0.812021i | −0.285617 | − | 0.958344i | \(-0.592198\pi\) |
0.989237 | + | 0.146323i | \(0.0467438\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 3.29900 | + | 3.80725i | 0.143980 | + | 0.166162i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 23.0154 | − | 50.3967i | 1.00257 | − | 2.19532i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −15.6813 | − | 16.8255i | −0.681796 | − | 0.731542i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 5.29778 | − | 11.6005i | 0.229904 | − | 0.503420i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −36.6954 | − | 42.3487i | −1.58945 | − | 1.83433i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.276802 | + | 0.319447i | −0.0119672 | + | 0.0138109i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −14.1893 | + | 4.16636i | −0.612314 | + | 0.179792i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 2.05127 | + | 14.2669i | 0.0883543 | + | 0.614517i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 9.70107 | + | 21.2424i | 0.417082 | + | 0.913282i | 0.995249 | + | 0.0973633i | \(0.0310409\pi\) |
−0.578167 | + | 0.815918i | \(0.696232\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 15.9038 | + | 10.2207i | 0.682495 | + | 0.438613i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 1.20604 | − | 8.38817i | 0.0516609 | − | 0.359310i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −20.6404 | + | 13.2648i | −0.882519 | + | 0.567160i | −0.901558 | − | 0.432658i | \(-0.857576\pi\) |
0.0190391 | + | 0.999819i | \(0.493939\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −5.38054 | − | 1.57987i | −0.229636 | − | 0.0674272i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −8.07172 | −0.343867 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 14.9147 | 0.634236 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 7.28334 | + | 2.13858i | 0.309160 | + | 0.0907777i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −1.35322 | + | 0.869662i | −0.0573378 | + | 0.0368488i | −0.568996 | − | 0.822341i | \(-0.692668\pi\) |
0.511658 | + | 0.859189i | \(0.329032\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −6.70495 | + | 46.6339i | −0.283589 | + | 1.97241i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 16.0644 | + | 10.3240i | 0.678241 | + | 0.435879i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −1.66197 | − | 3.63920i | −0.0700435 | − | 0.153374i | 0.871372 | − | 0.490623i | \(-0.163231\pi\) |
−0.941415 | + | 0.337249i | \(0.890504\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.111995 | + | 0.778945i | 0.00471168 | + | 0.0327705i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 1.16507 | − | 0.342095i | 0.0489283 | − | 0.0143667i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −20.4197 | + | 23.5656i | −0.856039 | + | 0.987921i | −0.999999 | − | 0.00166215i | \(-0.999471\pi\) |
0.143960 | + | 0.989584i | \(0.454016\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −2.05210 | − | 2.36825i | −0.0858777 | − | 0.0991082i | 0.711184 | − | 0.703006i | \(-0.248159\pi\) |
−0.797062 | + | 0.603897i | \(0.793614\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0.153167 | − | 0.335390i | 0.00639866 | − | 0.0140111i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 13.2999 | + | 14.7987i | 0.554645 | + | 0.617150i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −0.484755 | + | 1.06147i | −0.0201806 | + | 0.0441894i | −0.919454 | − | 0.393198i | \(-0.871369\pi\) |
0.899273 | + | 0.437387i | \(0.144096\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −13.0160 | − | 15.0213i | −0.540928 | − | 0.624264i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 4.15091 | − | 4.79040i | 0.172209 | − | 0.198739i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −9.59473 | + | 2.81727i | −0.397373 | + | 0.116679i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.785440 | − | 5.46285i | −0.0324739 | − | 0.225861i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −5.12710 | − | 11.2268i | −0.211618 | − | 0.463379i | 0.773822 | − | 0.633403i | \(-0.218343\pi\) |
−0.985440 | + | 0.170024i | \(0.945615\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 34.6254 | + | 22.2524i | 1.42672 | + | 0.916895i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0.527469 | − | 3.66863i | 0.0216972 | − | 0.150907i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 6.59087 | − | 4.23569i | 0.270655 | − | 0.173939i | −0.398273 | − | 0.917267i | \(-0.630390\pi\) |
0.668927 | + | 0.743328i | \(0.266754\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 7.86883 | + | 2.31050i | 0.322590 | + | 0.0947211i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −7.27363 | −0.297690 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −24.6991 | −1.00918 | −0.504590 | − | 0.863359i | \(-0.668356\pi\) | ||||
−0.504590 | + | 0.863359i | \(0.668356\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −13.1925 | − | 3.87365i | −0.538131 | − | 0.158010i | 0.00136264 | − | 0.999999i | \(-0.499566\pi\) |
−0.539494 | + | 0.841989i | \(0.681384\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 8.49443 | − | 5.45904i | 0.345920 | − | 0.222309i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −0.550886 | + | 3.83149i | −0.0223967 | + | 0.155772i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −8.35547 | − | 5.36973i | −0.339138 | − | 0.217951i | 0.359975 | − | 0.932962i | \(-0.382785\pi\) |
−0.699113 | + | 0.715011i | \(0.746422\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.748655 | + | 1.63933i | 0.0303370 | + | 0.0664288i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −8.60402 | − | 59.8423i | −0.348082 | − | 2.42096i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 16.1328 | − | 4.73701i | 0.651596 | − | 0.191326i | 0.0608039 | − | 0.998150i | \(-0.480634\pi\) |
0.590792 | + | 0.806824i | \(0.298815\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 5.65946 | − | 6.53136i | 0.228211 | − | 0.263370i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 10.7749 | + | 12.4350i | 0.433783 | + | 0.500612i | 0.929986 | − | 0.367594i | \(-0.119818\pi\) |
−0.496203 | + | 0.868206i | \(0.665273\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 3.43906 | − | 7.53049i | 0.138227 | − | 0.302676i | −0.827841 | − | 0.560963i | \(-0.810431\pi\) |
0.966068 | + | 0.258287i | \(0.0831581\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 4.57635 | − | 1.43424i | 0.183642 | − | 0.0575542i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −1.88099 | + | 4.11880i | −0.0753604 | + | 0.165016i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −8.48483 | − | 9.79201i | −0.339393 | − | 0.391681i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −9.29008 | + | 10.7213i | −0.371010 | + | 0.428168i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −57.7913 | + | 16.9691i | −2.30429 | + | 0.676600i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −4.21752 | − | 29.3335i | −0.167897 | − | 1.16775i | −0.883222 | − | 0.468955i | \(-0.844631\pi\) |
0.715325 | − | 0.698792i | \(-0.246279\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.430110 | − | 0.941809i | −0.0170953 | − | 0.0374336i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 10.3822 | + | 6.67226i | 0.412007 | + | 0.264781i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.70412 | + | 32.7179i | −0.186384 | + | 1.29633i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 5.59148 | − | 3.59342i | 0.221195 | − | 0.142154i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 2.23010 | + | 0.654815i | 0.0880835 | + | 0.0258637i | 0.325477 | − | 0.945550i | \(-0.394475\pi\) |
−0.237394 | + | 0.971413i | \(0.576293\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 5.66168 | 0.223275 | 0.111637 | − | 0.993749i | \(-0.464390\pi\) | ||||
0.111637 | + | 0.993749i | \(0.464390\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −7.26622 | −0.286107 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 39.7534 | + | 11.6726i | 1.56287 | + | 0.458899i | 0.944915 | − | 0.327317i | \(-0.106145\pi\) |
0.617952 | + | 0.786216i | \(0.287963\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 27.9855 | − | 17.9852i | 1.09853 | − | 0.705979i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 1.30783 | − | 9.09618i | 0.0512580 | − | 0.356507i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 2.41563 | + | 1.55243i | 0.0945311 | + | 0.0607514i | 0.587052 | − | 0.809549i | \(-0.300288\pi\) |
−0.492521 | + | 0.870300i | \(0.663925\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.71128 | + | 3.74719i | 0.0668653 | + | 0.146415i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −1.39908 | − | 9.73082i | −0.0545833 | − | 0.379635i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −24.3652 | + | 7.15427i | −0.949134 | + | 0.278691i | −0.719426 | − | 0.694569i | \(-0.755595\pi\) |
−0.229708 | + | 0.973260i | \(0.573777\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.91404 | + | 10.2874i | −0.346716 | + | 0.400132i | −0.902145 | − | 0.431432i | \(-0.858008\pi\) |
0.555429 | + | 0.831564i | \(0.312554\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 28.6777 | + | 33.0958i | 1.11375 | + | 1.28533i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −2.53094 | + | 5.54199i | −0.0981457 | + | 0.214909i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3.07365 | + | 6.42008i | 0.119012 | + | 0.248587i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0.245183 | − | 0.536876i | 0.00947933 | − | 0.0207568i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −9.57914 | − | 11.0549i | −0.369799 | − | 0.426771i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 20.9153 | − | 24.1376i | 0.806227 | − | 0.930436i | −0.192478 | − | 0.981301i | \(-0.561652\pi\) |
0.998706 | + | 0.0508652i | \(0.0161979\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −3.98076 | + | 1.16886i | −0.153219 | + | 0.0449893i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −0.0795608 | − | 0.553358i | −0.00305777 | − | 0.0212673i | 0.988235 | − | 0.152940i | \(-0.0488742\pi\) |
−0.991293 | + | 0.131673i | \(0.957965\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 4.54788 | + | 9.95846i | 0.174532 | + | 0.382171i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 15.5461 | + | 9.99085i | 0.595727 | + | 0.382850i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −0.697683 | + | 4.85249i | −0.0266961 | + | 0.185675i | −0.998806 | − | 0.0488497i | \(-0.984444\pi\) |
0.972110 | + | 0.234525i | \(0.0753535\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −15.2109 | + | 9.77547i | −0.581180 | + | 0.373502i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0.315063 | + | 0.0925108i | 0.0120204 | + | 0.00352951i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −22.9323 | −0.873650 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −3.82259 | −0.145418 | −0.0727091 | − | 0.997353i | \(-0.523164\pi\) | ||||
−0.0727091 | + | 0.997353i | \(0.523164\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 3.03910 | + | 0.892362i | 0.115446 | + | 0.0338980i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −0.458408 | + | 0.294601i | −0.0173884 | + | 0.0111748i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −9.75906 | + | 67.8757i | −0.369651 | + | 2.57098i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 15.6085 | + | 10.0310i | 0.590369 | + | 0.379407i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −8.61440 | − | 18.8629i | −0.325361 | − | 0.712442i | 0.674300 | − | 0.738457i | \(-0.264445\pi\) |
−0.999662 | + | 0.0260154i | \(0.991718\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −6.36799 | − | 44.2904i | −0.240173 | − | 1.67044i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 8.94656 | − | 2.62695i | 0.336947 | − | 0.0989366i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −10.2035 | + | 11.7754i | −0.383741 | + | 0.442861i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −13.8730 | − | 16.0103i | −0.521012 | − | 0.601280i | 0.432872 | − | 0.901455i | \(-0.357500\pi\) |
−0.953884 | + | 0.300175i | \(0.902955\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −5.10253 | + | 11.1730i | −0.191360 | + | 0.419019i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 4.51404 | − | 36.0139i | 0.169052 | − | 1.34873i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 5.98051 | − | 13.0955i | 0.223659 | − | 0.489744i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −3.18001 | − | 3.66993i | −0.118760 | − | 0.137056i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −18.3299 | + | 21.1538i | −0.683589 | + | 0.788904i | −0.986438 | − | 0.164135i | \(-0.947517\pi\) |
0.302849 | + | 0.953039i | \(0.402062\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −7.58950 | + | 2.22848i | −0.282648 | + | 0.0829928i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 3.81885 | + | 26.5607i | 0.142025 | + | 0.987803i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −2.55797 | − | 5.60117i | −0.0950005 | − | 0.208022i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 10.1968 | + | 6.55311i | 0.378180 | + | 0.243041i | 0.715896 | − | 0.698206i | \(-0.246018\pi\) |
−0.337717 | + | 0.941248i | \(0.609655\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.142315 | + | 0.989821i | −0.00527092 | + | 0.0366601i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 48.5029 | − | 31.1709i | 1.79394 | − | 1.15290i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 32.0885 | + | 9.42203i | 1.18522 | + | 0.348011i | 0.814182 | − | 0.580609i | \(-0.197186\pi\) |
0.371033 | + | 0.928620i | \(0.379004\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −5.09790 | −0.188039 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 26.3391 | 0.970213 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −18.0190 | − | 5.29085i | −0.662839 | − | 0.194627i | −0.0670274 | − | 0.997751i | \(-0.521351\pi\) |
−0.595812 | + | 0.803124i | \(0.703170\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −27.3687 | + | 17.5888i | −1.00541 | + | 0.646140i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 0.518529 | − | 3.60645i | 0.0190230 | − | 0.132308i | −0.978097 | − | 0.208151i | \(-0.933256\pi\) |
0.997120 | + | 0.0758428i | \(0.0241647\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 13.7553 | + | 8.84000i | 0.503956 | + | 0.323873i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 2.16853 | + | 4.74842i | 0.0793424 | + | 0.173736i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −0.0791714 | − | 0.550649i | −0.00289286 | − | 0.0201203i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 14.6666 | − | 4.30650i | 0.535192 | − | 0.157146i | −0.00295814 | − | 0.999996i | \(-0.500942\pi\) |
0.538150 | + | 0.842849i | \(0.319123\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −0.809594 | + | 0.934321i | −0.0295032 | + | 0.0340486i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 8.75341 | + | 10.1020i | 0.318569 | + | 0.367648i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 9.93935 | − | 21.7642i | 0.361252 | − | 0.791032i | −0.638518 | − | 0.769607i | \(-0.720452\pi\) |
0.999770 | − | 0.0214250i | \(-0.00682032\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 12.0651 | + | 3.30655i | 0.437936 | + | 0.120020i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −10.8888 | + | 23.8433i | −0.394720 | + | 0.864317i | 0.603058 | + | 0.797697i | \(0.293949\pi\) |
−0.997778 | + | 0.0666199i | \(0.978779\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 7.30393 | + | 8.42919i | 0.264420 | + | 0.305157i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −4.42290 | + | 5.10430i | −0.159910 | + | 0.184546i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 73.1987 | − | 21.4931i | 2.64305 | − | 0.776070i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.09981 | − | 21.5597i | −0.111782 | − | 0.777461i | −0.966185 | − | 0.257850i | \(-0.916986\pi\) |
0.854403 | − | 0.519611i | \(-0.173923\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −0.0539740 | − | 0.118186i | −0.00194382 | − | 0.00425638i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −3.38153 | − | 2.17318i | −0.121625 | − | 0.0781638i | 0.478414 | − | 0.878135i | \(-0.341212\pi\) |
−0.600039 | + | 0.799971i | \(0.704848\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −4.46854 | + | 31.0794i | −0.160515 | + | 1.11640i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −8.40452 | + | 5.40126i | −0.301510 | + | 0.193769i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −48.8800 | − | 14.3525i | −1.75131 | − | 0.514231i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 17.3378 | 0.620394 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −1.48419 | −0.0530406 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.321564 | + | 0.0944196i | 0.0114771 | + | 0.00336998i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −20.4488 | + | 13.1417i | −0.728921 | + | 0.468449i | −0.851730 | − | 0.523981i | \(-0.824446\pi\) |
0.122809 | + | 0.992430i | \(0.460810\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −0.0268550 | + | 0.186781i | −0.000956065 | + | 0.00664957i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −0.871313 | − | 0.559959i | −0.0309803 | − | 0.0199098i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −13.9353 | − | 30.5140i | −0.494857 | − | 1.08359i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −0.503339 | − | 3.50080i | −0.0178516 | − | 0.124161i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 14.3220 | − | 4.20532i | 0.507311 | − | 0.148960i | −0.0180536 | − | 0.999837i | \(-0.505747\pi\) |
0.525365 | + | 0.850877i | \(0.323929\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −48.4502 | + | 55.9145i | −1.71404 | + | 1.97811i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −2.44199 | − | 2.81821i | −0.0862835 | − | 0.0995765i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 10.6529 | − | 23.3266i | 0.375933 | − | 0.823179i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 5.37175 | − | 0.0972853i | 0.189329 | − | 0.00342886i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −8.91436 | + | 19.5197i | −0.313800 | + | 0.687127i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 20.2201 | + | 23.3352i | 0.710901 | + | 0.820423i | 0.990182 | − | 0.139786i | \(-0.0446416\pi\) |
−0.279281 | + | 0.960209i | \(0.590096\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 5.84825 | − | 6.74925i | 0.205360 | − | 0.236998i | −0.643722 | − | 0.765260i | \(-0.722611\pi\) |
0.849082 | + | 0.528262i | \(0.177156\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 3.38578 | − | 0.994156i | 0.118745 | − | 0.0348666i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −1.51009 | − | 10.5029i | −0.0528961 | − | 0.367901i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 17.7932 | + | 38.9617i | 0.622506 | + | 1.36310i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 6.11064 | + | 3.92707i | 0.213523 | + | 0.137223i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 2.47290 | − | 17.1994i | 0.0863047 | − | 0.600263i | −0.900070 | − | 0.435746i | \(-0.856485\pi\) |
0.986374 | − | 0.164517i | \(-0.0526064\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 17.6060 | − | 11.3147i | 0.613707 | − | 0.394405i | −0.196539 | − | 0.980496i | \(-0.562970\pi\) |
0.810245 | + | 0.586091i | \(0.199334\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −10.3839 | − | 3.04898i | −0.361520 | − | 0.106152i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −17.6637 | −0.614226 | −0.307113 | − | 0.951673i | \(-0.599363\pi\) | ||||
−0.307113 | + | 0.951673i | \(0.599363\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 32.0581 | 1.11343 | 0.556713 | − | 0.830705i | \(-0.312062\pi\) | ||||
0.556713 | + | 0.830705i | \(0.312062\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 17.8951 | + | 5.25448i | 0.620775 | + | 0.182276i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 34.0291 | − | 21.8691i | 1.17904 | − | 0.757721i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.618603 | − | 4.30248i | 0.0214076 | − | 0.148893i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 6.36676 | + | 4.09167i | 0.220067 | + | 0.141429i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 9.20564 | + | 20.1575i | 0.317814 | + | 0.695916i | 0.999357 | − | 0.0358627i | \(-0.0114179\pi\) |
−0.681543 | + | 0.731778i | \(0.738691\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 3.81364 | + | 26.5244i | 0.131505 | + | 0.914635i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 26.0896 | − | 7.66061i | 0.898575 | − | 0.263845i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 13.7660 | − | 15.8868i | 0.473566 | − | 0.546524i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −3.33624 | − | 3.85023i | −0.114635 | − | 0.132295i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 1.54319 | − | 3.37912i | 0.0529623 | − | 0.115971i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −32.8028 | + | 21.9304i | −1.12447 | + | 0.751764i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −19.5118 | + | 42.7250i | −0.668073 | + | 1.46288i | 0.206731 | + | 0.978398i | \(0.433718\pi\) |
−0.874804 | + | 0.484478i | \(0.839010\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −3.28578 | − | 3.79199i | −0.112371 | − | 0.129683i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 6.20842 | − | 7.16489i | 0.212075 | − | 0.244748i | −0.639738 | − | 0.768593i | \(-0.720957\pi\) |
0.851814 | + | 0.523845i | \(0.175503\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −30.2143 | + | 8.87171i | −1.03090 | + | 0.302699i | −0.753076 | − | 0.657934i | \(-0.771431\pi\) |
−0.277822 | + | 0.960633i | \(0.589613\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 1.61873 | + | 11.2585i | 0.0551660 | + | 0.383688i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −14.4440 | − | 31.6278i | −0.491678 | − | 1.07662i | −0.979085 | − | 0.203450i | \(-0.934785\pi\) |
0.487407 | − | 0.873175i | \(-0.337943\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 6.03077 | + | 3.87574i | 0.205052 | + | 0.131779i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 5.20741 | − | 36.2183i | 0.176853 | − | 1.23004i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −26.9540 | + | 17.3223i | −0.914353 | + | 0.587619i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 57.9561 | + | 17.0174i | 1.96377 | + | 0.576614i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −9.01605 | −0.305147 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −10.2492 | −0.346485 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 22.3108 | + | 6.55106i | 0.753384 | + | 0.221213i | 0.635805 | − | 0.771850i | \(-0.280668\pi\) |
0.117579 | + | 0.993064i | \(0.462487\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 14.2379 | − | 9.15017i | 0.480234 | − | 0.308628i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −7.44501 | + | 51.7812i | −0.250829 | + | 1.74455i | 0.342433 | + | 0.939542i | \(0.388749\pi\) |
−0.593262 | + | 0.805010i | \(0.702160\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 1.81544 | + | 1.16672i | 0.0610946 | + | 0.0392631i | 0.570832 | − | 0.821067i | \(-0.306621\pi\) |
−0.509737 | + | 0.860330i | \(0.670257\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 4.88773 | + | 10.7026i | 0.164299 | + | 0.359765i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 1.82373 | + | 12.6844i | 0.0612350 | + | 0.425899i | 0.997261 | + | 0.0739672i | \(0.0235660\pi\) |
−0.936026 | + | 0.351932i | \(0.885525\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −15.5849 | + | 4.57613i | −0.522700 | + | 0.153479i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.70822 | + | 1.97139i | −0.0572274 | + | 0.0660439i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −35.9938 | − | 41.5390i | −1.20449 | − | 1.39005i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.66780 | − | 12.4108i | 0.189454 | − | 0.414846i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 24.4115 | + | 15.0708i | 0.815077 | + | 0.503200i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −4.66620 | + | 10.2175i | −0.155626 | + | 0.340774i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 18.3777 | + | 21.2090i | 0.612250 | + | 0.706574i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 6.26260 | − | 7.22743i | 0.208406 | − | 0.240514i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −16.7351 | + | 4.91386i | −0.556292 | + | 0.163342i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −1.27805 | − | 8.88901i | −0.0424368 | − | 0.295155i | −0.999977 | − | 0.00685318i | \(-0.997819\pi\) |
0.957540 | − | 0.288302i | \(-0.0930905\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −5.33054 | − | 11.6723i | −0.176803 | − | 0.387144i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 15.0425 | + | 9.66724i | 0.498381 | + | 0.320290i | 0.765568 | − | 0.643355i | \(-0.222458\pi\) |
−0.267187 | + | 0.963645i | \(0.586094\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1.93788 | + | 13.4783i | −0.0641345 | + | 0.446066i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 4.35235 | − | 2.79709i | 0.143884 | − | 0.0924688i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −5.20210 | − | 1.52747i | −0.171788 | − | 0.0504416i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 52.1924 | 1.72167 | 0.860835 | − | 0.508885i | \(-0.169942\pi\) | ||||
0.860835 | + | 0.508885i | \(0.169942\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 28.7453 | 0.947189 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 38.1497 | + | 11.2018i | 1.25571 | + | 0.368711i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 28.7161 | − | 18.4547i | 0.944181 | − | 0.606788i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0.927067 | − | 6.44789i | 0.0304489 | − | 0.211777i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −22.6910 | − | 14.5826i | −0.744467 | − | 0.478440i | 0.112603 | − | 0.993640i | \(-0.464081\pi\) |
−0.857070 | + | 0.515200i | \(0.827718\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 12.4835 | + | 27.3351i | 0.409131 | + | 0.895871i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 3.67621 | + | 25.5686i | 0.120354 | + | 0.837078i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −16.9041 | + | 4.96351i | −0.552825 | + | 0.162324i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 25.9973 | − | 30.0025i | 0.849296 | − | 0.980140i | −0.150668 | − | 0.988584i | \(-0.548143\pi\) |
0.999964 | + | 0.00844436i | \(0.00268796\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 7.63294 | + | 8.80888i | 0.249092 | + | 0.287467i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −16.0338 | + | 35.1090i | −0.522686 | + | 1.14452i | 0.445727 | + | 0.895169i | \(0.352945\pi\) |
−0.968413 | + | 0.249353i | \(0.919782\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 7.19746 | + | 44.3435i | 0.234382 | + | 1.44402i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −0.465378 | + | 1.01903i | −0.0151387 | + | 0.0331492i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −23.9757 | − | 27.6694i | −0.779106 | − | 0.899136i | 0.217939 | − | 0.975962i | \(-0.430067\pi\) |
−0.997044 | + | 0.0768267i | \(0.975521\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 38.5116 | − | 44.4447i | 1.25014 | − | 1.44274i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −14.8939 | + | 4.37325i | −0.482968 | + | 0.141812i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −6.45166 | − | 44.8723i | −0.208990 | − | 1.45356i | −0.776462 | − | 0.630164i | \(-0.782988\pi\) |
0.567472 | − | 0.823393i | \(-0.307921\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0.141312 | + | 0.309430i | 0.00457275 | + | 0.0100129i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −3.25694 | − | 2.09311i | −0.105282 | − | 0.0676606i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 3.38670 | − | 23.5550i | 0.109362 | − | 0.760631i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 22.1060 | − | 14.2066i | 0.713096 | − | 0.458279i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0.439592 | + | 0.129076i | 0.0141656 | + | 0.00415941i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 18.3376 | 0.590308 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 8.82892 | 0.283919 | 0.141959 | − | 0.989872i | \(-0.454660\pi\) | ||||
0.141959 | + | 0.989872i | \(0.454660\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 38.2000 | + | 11.2165i | 1.22716 | + | 0.360327i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −6.37284 | + | 4.09558i | −0.204514 | + | 0.131433i | −0.638889 | − | 0.769299i | \(-0.720606\pi\) |
0.434375 | + | 0.900732i | \(0.356969\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.102064 | − | 0.709871i | 0.00327202 | − | 0.0227574i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −20.8786 | − | 13.4178i | −0.668649 | − | 0.429715i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −8.42213 | − | 18.4419i | −0.269448 | − | 0.590008i | 0.725743 | − | 0.687966i | \(-0.241496\pi\) |
−0.995191 | + | 0.0979579i | \(0.968769\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.38433 | − | 9.62821i | −0.0442433 | − | 0.307719i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −8.81331 | + | 2.58782i | −0.281387 | + | 0.0826228i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −13.7231 | + | 15.8373i | −0.437698 | + | 0.505131i | −0.931147 | − | 0.364644i | \(-0.881191\pi\) |
0.493449 | + | 0.869775i | \(0.335736\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 2.23928 | + | 2.58427i | 0.0713495 | + | 0.0823417i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −5.09793 | + | 11.1629i | −0.162269 | + | 0.355319i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 24.2139 | − | 28.9887i | 0.769956 | − | 0.921786i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −11.5706 | + | 25.3360i | −0.367551 | + | 0.804825i | 0.632003 | + | 0.774966i | \(0.282233\pi\) |
−0.999554 | + | 0.0298588i | \(0.990494\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −20.6121 | − | 23.7876i | −0.654104 | − | 0.754876i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 4.39454 | − | 5.07156i | 0.139316 | − | 0.160779i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 37.6349 | − | 11.0506i | 1.19191 | − | 0.349976i | 0.375154 | − | 0.926962i | \(-0.377590\pi\) |
0.816754 | + | 0.576987i | \(0.195772\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −1.17092 | − | 8.14390i | −0.0370461 | − | 0.257662i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 552.2.q.d.121.1 | yes | 30 | |
23.4 | even | 11 | inner | 552.2.q.d.73.1 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.q.d.73.1 | ✓ | 30 | 23.4 | even | 11 | inner | |
552.2.q.d.121.1 | yes | 30 | 1.1 | even | 1 | trivial |